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Finding the Third Proportional to 283,488 and 426,513

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Solution

The third proportional to 283,488 and 426,513 is: 641,696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,488 : 426,513 = 426,513 : x
  2. Step 2: Convert to fraction form
    283,488/426,513 = 426,513/x
  3. Step 3: Cross multiply
    283,488x = 426,513 × 426,513
  4. Step 4: Simplify right side
    283,488x = 181,913,339,169
  5. Step 5: Solve for x
    x = 181,913,339,169/283,488
  6. Step 6: Final answer
    x = 641,696.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.